Let P(A) = 0.3 and P(B) = 0.6.
(a) Find P(A ∪ B) when A and B are independent.
(b) Find P(A|B) when A and B are mutually exclusive.
Step 1 of 3
Step1 of 3:
P(A) = 0.3 and
P(B) = 0.6
We need to find,
a).P(AB) when A and B are independent.
b).P(A/B) when A and B are mutually Exclusive.
Step2 of 3:
P(AB) can be calculated by using the formula P(AB) = P(A) + P(B) - P(AB)
P(AB) = P(A)P(B) [because we know that A and B are independent]
Hence,P(AB) = 0.18.
P(AB) = P(A) + P(B) - P(AB)
Textbook: Probability and Statistical Inference
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9. This full solution covers the following key subjects: ind, independent, exclusive, let, mutually. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The full step-by-step solution to problem: 2E from chapter: 1.4 was answered by , our top Statistics solution expert on 07/05/17, 04:50AM. Since the solution to 2E from 1.4 chapter was answered, more than 238 students have viewed the full step-by-step answer. The answer to “Let P(A) = 0.3 and P(B) = 0.6.(a) Find P(A ? B) when A and B are independent.(b) Find P(A|B) when A and B are mutually exclusive.” is broken down into a number of easy to follow steps, and 27 words. Probability and Statistical Inference was written by and is associated to the ISBN: 9780321923271.